Effects of biological tissues on the propagation properties of anomalous hollow beams

We derived analytical formulae of anomalous hollow beams (AHBs) passing through the turbulent biological tissues based on the extended Huygens–Fresnel integral formula. With the help of these formulae, we investigate the propagation properties of AHBs in turbulent biological tissues, the irradiance and spreading properties of AHBs in turbulent biological tissues are studied numerically. It is found that the circular and elliptical AHBs eventually become Gaussian beams in the far field and the central irradiance of the AHB rises more rapidly as the value of Cn2 grows. We also calculate the formulae of the effective beam size of AHB and find that finally Wxz becomes equal to Wyz in turbulent biological tissues which can be used to explain the beam spot eventually becomes circular under the influence of turbulence of biological tissues.